WarningYour internet explorer is in compatibility mode and may not be displaying the website correctly.
You can fix this by pressing 'F12' on your keyboard, Selecting 'Document Mode' and choosing 'standards' (or the latest version
listed if standards is not an option).

Introduction to Computation and Modeling with Differential Equations

Lennart Edsberg

Introduction to Computation and Modeling for Differential Equations
provides a unified and integrated view of numerical analysis,
mathematical modeling in applications, and programming to solve
differential equations, which is essential in problem-solving across
many disciplines, such as engineering, physics, and economics. This book
successfully introduces readers to the subject through a unique "Five-M"
approach: Modeling, Mathematics, Methods, MATLAB®, and COMSOL Multiphysics®.
This approach facilitates a thorough understanding of how models are
created and preprocessed mathematically with scaling, classification,
and approximation, and it also illustrates how a problem is solved
numerically using the appropriate mathematical methods.

The book's approach of solving a problem with mathematical,
numerical, and programming tools is unique and covers a wide array of
topics, from mathematical modeling to implementing a working computer
program. The author utilizes the principles and applications of
scientific computing to solve problems involving:

Ordinary differential equations

Numerical methods for Initial Value Problems (IVPs)

Numerical methods for Boundary Value Problems (BVPs)

Partial Differential Equations (PDEs)

Numerical methods for parabolic, elliptic, and hyperbolic PDEs

Mathematical modeling with differential equations

Numerical solution

Finite difference and finite element methods

Real-world examples from scientific and engineering applications
including mechanics, fluid dynamics, solid mechanics, chemical
engineering, electromagnetic field theory, and control theory are solved
through the use of MATLAB® and the interactive scientific computing
program Comsol Multiphysics®. Numerous illustrations aid in the
visualization of the solutions, and a related Web site features
demonstrations, solutions to problems, MATLAB® programs, and additional
data.

Introduction to Computation and Modeling for Differential Equations
is an ideal text for courses in differential equations, ordinary
differential equations, partial differential equations, and numerical
methods at the upper-undergraduate and graduate levels. The book also
serves as a valuable reference for researchers and practitioners in the
fields of mathematics, engineering, and computer science who would like
to refresh and revive their knowledge of the mathematical and numerical
aspects as well as the applications of scientific computation.